If Charlie invested $1,000 in an account paying 10% compounded monthly, how much will be in the account at the end of 10 years?​

Answer:

Step-by-step explanation:

Based on the information provided, the residual plot makes sense based on the scatter plot.

In the given scatter plot, the points are plotted with horsepower on the x-axis and observed MPG (miles per gallon) on the y-axis. The scatter plot shows the relationship between horsepower and MPG for the motorcycles.

The residual plot, on the other hand, shows the differences between the observed MPG values and the predicted MPG values based on the regression line or model. Residuals represent the vertical distances between the observed data points and the regression line.

Looking at the residual plot, we can see that the residuals are scattered randomly around the zero line. Some residuals are positive, while others are negative, indicating that the observed MPG values deviate both above and below the predicted MPG values.

Given this information, option A is the correct answer: "The random residual plot makes sense because the scatter plot appears to have a linear relationship." The scatter plot does not necessarily suggest a positive or negative relationship between horsepower and MPG. It simply shows the general trend or pattern. The random distribution of residuals in the residual plot indicates that the regression model is capturing the relationship adequately, and the variations or deviations from the regression line are random, which is expected in a good regression model.

The residual plot created by Jorge does make sense as it reflects the negative relationship between horsepower and miles per gallon present in the original scatter plot. As the horsepower increases, the miles per gallon decreases which is depicted accurately in the residual plot made.

The best answer for this is B. The random residual plot makes sense because the scatter plot appears to have a negative relationship. A residual plot is a graph that is used to examine the goodness of fit in regression and ANOVA analysis. It is the differences between the observed and predicted values of data. The points in a residual plot are randomly dispersed around a horizontal axis if the corresponding regression model is appropriate for the data.

In this case, the scatter plot demonstrates a negative relationship between the horsepower of motorcycles and miles per gallon. As the horsepower increases, the miles per gallon decrease. This negative relationship is reflected in the pattern of residuals, which fluctuates around the zero line on the y-axis of the residual plot. Consequently, the random distribution of residuals on Jorge's plot does make sense given the scatter plot data.

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As a result, the experimental probability of landing on heads is 48%, probability which means that we should expect heads approximately 48 times out of 100 coin flips.

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating an unlikely event and 1 indicating an unavoidable event. Because there are two equally likely outcomes, switching a fair coin and coin flips has a probability of 0.5 or 50%. (Either heads or tails). Probability theory, a branch of mathematics, is concerned with the investigation of random events rather than their properties. It is used in a variety of fields, including statistics, finance, science, and engineering.

The following formula can be used to calculate the relative frequency or experimental probability of landing on heads:

Number of Heads / Total Number of Flips = Experimental Probability of Heads

The number of heads in this case is 48, and the total number of flips is 100. Therefore,

Heads Experimental Probability = 48 / 100 = 0.48

We can multiply this by 100 to get a percentage:

Heads Experimental Probability = 0.48 * 100 = 48%

As a result, the experimental probability of landing on heads is 48%, which means that we should expect heads approximately 48 times out of 100 coin flips.

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Answer:

y = 7

Step-by-step explanation:

y = 3(2-1) 2 + 1

y = 3(1)(2) + 1

y = 6 + 1

y = 7

Answer:

You need to simplify 0.3(12x + -16) = 0.4(12 + -3x)

Step-by-step explanation:

Reorder the terms:

0.3(-16 + 12x) = 0.4(12 + -3x) (-16 * 0.3 + 12x * 0.3) = 0.4(12 + -3x) (-4.8 + 3.6x) = 0.4(12 + -3x) -4.8 + 3.6x = (12 * 0.4 + -3x * 0.4) -4.8 + 3.6x = (4.8 + -1.2x)

Solving -4.8 + 3.6x = 4.8 + -1.2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '1.2x' to each side of the equation. -4.8 + 3.6x + 1.2x = 4.8 + -1.2x + 1.2x

Combine like terms: 3.6x + 1.2x = 4.8x -4.8 + 4.8x = 4.8 + -1.2x + 1.2x

Combine like terms: -1.2x + 1.2x = 0.0 -4.8 + 4.8x = 4.8 + 0.0 -4.8 + 4.8x = 4.8 Add '4.8' to each side of the equation. -4.8 + 4.8 + 4.8x = 4.8 + 4.8

Combine like terms: -4.8 + 4.8 = 0.0 0.0 + 4.8x = 4.8 + 4.8 4.8x = 4.8 + 4.8

Combine like terms: 4.8 + 4.8 = 9.6 4.8x = 9.6 Divide each side by '4.8'. x = 2

Simplifying x = 2

Answer:

23,29,31,37

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

its 1/3 for every chore soooo      1/3 then  2/3   then 3/3

The line or points has a slope value of -1

From the question, we have the following statement that can be used in our computation:

The slope of -3 up to positive 3

For a start, we represent the above parameters using an ordered pair

The ordered pair is represented as

(x, y) = (-3, 3)

The slope of the point is then calculated using the following slope formula

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (-3, 3) and (0, 0)

The coordinate (0, 0) represents the origin

Substitute the known values in the above equation

So, we have the following equation

Slope = (3 - 0)/(-3 - 0)

Evaluate the difference

So, we have the following equation

Slope = (3)/(-3)

Evaluate the quotient

So, we have the following equation

Slope = -1

Hence, the slope is -1

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Answer:

sometimes a square could be a parallelogram too and a rhombus and a normal parallelogram

Step-by-step explanation:

it has two parallel pairs

Answer:

WE{OFGiuhu argoih

Step-by-step explanation:

Answer:-3

Step-by-step explanation:

y2-y1/x2-x1=m

-3-3/6-4=-6/2=-3

Answer:

2x^7

Step-by-step explanation:

add the exponents because they both are x

2x^4*x^3=2x^7

Answer:

B (1, -3)

Step-by-step explanation:

Step 1:  Use the midpoint formula to find the coordinates of the endpoint:

Normally, we find the midpoint of a segment using the midpoint formula, which is given by:

M = (x1 + x2) / 2, (y1 + y2) / 2, where

Since we're solving for the coordinates of an endpoint, we can allow (-5, 7) to be our (x1, y1) point and plug in (-2, 2) for M to find (x2, y2), the coordinates of the endpoint B:

x-coordinate of B:

x-coordinate of midpoint = (x1 + x2) / 2

(-2 = (-5 + x2) / 2) * 2

(-4 = -5 + x2) + 5

1 = x2

Thus, the x-coordinate of the endpoint B is 1.

y-coordinate of B:

y-coordinate of midpoint = (y1 + y2) / 2

(2 = (7 + x2) / 2) * 2

(4 = 7 + x2) -7

-3 = y2

Thus, the y-coordinate of the endpoint B is -3.

Thus, the coordinates of the endpoint B are (1, -3).

Answer:

We know π rad = 180°, then 1° is:

Then 40 ° is:

When 'x' is 5, the Algebraic  expression 3x - 4 evaluates to 11.

To find the algebraic expression for "4 less than the product of 3 and some number," let's break it down step by step.

First, let's define the unknown number as 'x.' Since the problem states "the product of 3 and some number," we can express this as 3 * x or simply 3x.

Next, we want to subtract 4 from this product. The phrase "4 less than" indicates subtraction, so we subtract 4 from 3x. This can be represented as 3x - 4.

In summary, the algebraic expression for "4 less than the product of 3 and some number" is 3x - 4, where 'x' represents the unknown number.

To calculate the value of this expression for a specific value of 'x,' you substitute that value into the expression and simplify. For example, if 'x' is 5, you would substitute 5 into the expression:

3(5) - 4

This simplifies to:

15 - 4 = 11

So, when 'x' is 5, the expression 3x - 4 evaluates to 11.

In general, the algebraic expression allows us to represent a mathematical relationship between quantities using symbols and operations. By substituting specific values into the expression, we can calculate the corresponding results.

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Note the complete question:

Algebraic expression for 4 less than the product of 3 and some number

What is the algebraic expression for "4 less than the product of 3 and some number?

Please help me understand the meaning of how to calculate.

m∠NOP = 90° is the value of angle .

What does a math angle mean?

An angle is made up of two rays (half-lines) that have a shared termination. The rays serve as the angle's sides, occasionally serving as the angle's legs and occasionally serving as its arms, while the latter is referred to as the vertex of the angle.

                                           A figure that is created by two rays or lines that have the same endpoint is known as an angle in plane geometry. The Latin word "angulus," which meaning "corner," is the source of the English term "angle". The vertex, which is the shared terminal of the two rays, is referred to as the side of an angle.

m∠NOP = 90° is the value of angle .

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The graph of the function f(x) = x² + 2x + 3 is a parabola with vertex (-1, 2).

You can use the vertical line test on a graph to determine whether a relation is a function. If it is impossible to draw a vertical line that intersects the graph more than once, then each x-value is paired with exactly one y-value. So, the relation is a function.

Given, the function is f(x) = x² + 2x + 3

We have to find the graph of the function.

Let y = x² + 2x + 3

Put x = -3

y = (-3)² + 2(-3) + 3

= 9 - 6 + 3

= 9 - 3

y = 6

Put x = -2

y = (-2)² + 2(-2) + 3

= 4 - 4 + 3

y = 3

Put x = -1

y = (-1)² + 2(-1) + 3

= 1 - 2 + 3

= 4 - 2

y = 2

Put x = 0

y = (0)² + 2(0) + 3

= 0 + 0 + 3

y = 3

Put x = 1

y = (1)² + 2(1) + 3

= 1 + 2 + 3

= 3 + 3

y = 6

We can plot the graph using the points.

The graph of the function f(x) = x² + 2x + 3 is a parabola with vertex (-1, 2).

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\(\pink{\underline{{\boxed{\bf{QUESTION: }}}}}\)

-6(x+4) = _____

\(\pink{\underline{{\boxed{\bf{OPTIONS:}}}}}\)

\(\pink{\underline{{\boxed{\bf{ ANSWER: }}}}}\)

-6(x+4) = -6x - 24

Answer:

3

Step-by-step explanation:

The mode is 3 because it is the most commonly repeating number in the data set.

The mode of the data represented in this line plot is 3

From the line plot, we have the following frequency table

Data   Frequency

1               2

2            3

3            4

4            3

In the above frequency table, the entry 3 has the highest frequency of 4

Hence. the mode of the data is 3

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The side AC corresponds to the side AC in the other triangle and the length of BC is 15 units

For two triangles to be similar, the corresponding sides of the triangles must be in proportion

Having said  that

The side AC corresponds to the side AC in the other triangle

The length BC is calculated as

BC/9 = 25/15

Express as products

So, we have

BC = 9 * 25/15

Evaluate the products

BC = 15

Hence, the length of BC is 15 units

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Answer:

64π

Step-by-step explanation:

no

Answer:

You travel 6 miles

Step-by-step explanation:

3+3

Answer:

To find the amount in the bank after 7 years, we can use the formula:

A = P(1 + r/n)^(nt)

where:

A = the amount in the bank after 7 years

P = the principal amount (initial investment)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

For the given problem:

P = $4000

r = 10% = 0.1

t = 7 years

a) Compounded Annually:

n = 1

A = 4000(1 + 0.1/1)^(1*7) = $7449.36

b) Compounded Quarterly:

n = 4

A = 4000(1 + 0.1/4)^(4*7) = $7650.13

c) Compounded Monthly:

n = 12

A = 4000(1 + 0.1/12)^(12*7) = $7727.27

d) Compounded Continuously:

n → ∞ (as n approaches infinity)

A = Pe^(rt) = 4000e^(0.1*7) = $8193.85

Therefore, the amount in the bank after 7 years increases as the compounding frequency increases. If interest is compounded continuously, the amount in the bank will be the highest.

The length of the sides of EFG are 144 cm, 128 cm and 112 cm. And length of the longest side of QRS is 360 cm.

A triangle is a polygon with three sides and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is represented as ΔABC.

In Euclidean geometry, any three points, if not collinear, define a unique triangle and, at the same time, a unique plane (that is, two-dimensional Euclidean space). That is, there is only one plane containing this triangle, and all triangles are contained in one plane. If all geometries were just Euclidean planes, there would be only one plane and all triangles would be in it. But this is not the case in high dimensional Euclidean space. This article is about triangles in Euclidean geometry, specifically the Euclidean plane, unless otherwise stated.

According to the question:

Triangles EFG and QRS are similar

So EF/QR = FG/RS = EG/QS

Therefore,

The length of the sides of EFG are 144 cm, 128 cm and 112 cm.

Here, 112 is smallest side of triangle EFG  

Let, the smallest side of EFG  be EF so QR is also the smallest side of triangle QRS i.e. QR = 280 cm & other sides be assumed "x" & "y"

Now,

   112/280 = 144/x = 128/y

⇒ 2/5 = 144/x = 128/y

Taking first two, we get

x = 360 cm

Now,

Taking first and third , we get ,

y = 320 cm

So others two sides of triangle QRS are 320 cm & 360 cm.

And length of the longest side of QRS is 360 cm.

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Answer:

The answer is D because it is closer to zero so it is greater in value. For example if the number is further away from zero (and is negative) the value is less but if it’s closer it is greater and in positive numbers the rules are opposite

Step-by-step explanation:

Answer:

2.6?:))))

......

The solution of the compound inequality is x < 3/4 or x >2.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Given:

A compound inequality:

4x - 5 < -2 or x + 1 > 3.

Solving inequality,

4x < -2 + 5 or x > 2

4x < 3 or x > 2.

x < 3/4 or x >2.

Therefore, the solution is x < 3/4 or x >2.

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Answer:

Step-by-step explanation:

The co-ordinates of B = ( 0 , a ) ⇒ ( x₁ , y₁ )

The co-ordinates of D = ( a , 0 )⇒( x₂ , y₂ )

Let's find the slope of BD

Slope = \( \mathrm{ = \frac{y2- y1}{x2 - x1} }\)

\( \mathrm{ = \frac{0 - a}{a - 0} }\)

\( \mathrm{ = \frac{ - a}{a} }\)

\( \mathrm{ = - 1}\)

\( \mathcal{HOPE \: I \: HELPED !}\)

\( \mathcal{BEST \: REGARDS !}\)

Answer: x = 1

Step-by-step explanation:

x = 1 provides one solution for any linear equation, as it is a straight vertical line.

Hope it helps <3

Answer:

x=2

Step-by-step explanation:

Our equation is y=2x+4

the line goes through (2,0) and (0,4)

This equation has one solution for y=0

there are millions of similar equations that has one solution like:

x = 2

Answer:

x= m+3

y= m-3

now,

x+y+1 = 2m

or, m+3+m-3+1 = 2m

or, 2m+1 =2m

or, 3m=2m

or, m= 3/2 is the answer

Complete Question

Suppose that the random variable X represents the length of a punched part in

centimeters. Let Y be the length of the part in millimeters. If E(X) = 5 and V(X) = 0.25,

what are the mean and variance of Y?

Answer:

The mean

\(E(Y) =50 mm\)

The variance

\(V(Y) = 25 mm\)

Step-by-step explanation:

From the question we are told that  

   Length in cm is  X

   Length in mm is Y

  Generally  10 mm  =  1 cm

So

    \(Y = 10 X\)

Hence the expected mean of Y is  

  \(E(Y) = E (10 X)\)

=>    \(E(Y) = 10 E(X)\)

From the question \(E(X) = 5\)

So

      \(E(Y) = 10 * 5\)

=> \(E(Y) =50 mm\)

Gnerally the variance of  X is  

      \(V(X) = E [X^2] -E[X]^2\)

From the question we are told that \(V(X) = 0.25\)

=> \(0.25 = E [X^2] -E[X]^2\)

Gnerally the variance of Y

    \(V(Y) = E [Y^2] -E[Y]^2\)

=> \(V(Y) = E [10X^2] -E[X]^2\)

=> \(V(Y) = 10^2[ E [X^2] -E[X]^2]\)

=> \(V(Y) = 10^2* V(X)\)

=> \(V(Y) = 10^2* 0.25\)

=> \(V(Y) = 25 mm\)